How Can You Test for Symmetry in Mathematics?

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Discussion Overview

The discussion revolves around testing for symmetry in mathematical functions, specifically focusing on the function |y| = 2x - 4. Participants explore the rules and methods for determining symmetry about the x-axis, y-axis, and origin.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants inquire about the rules for testing symmetry in the context of the function |y| = 2x - 4.
  • One participant suggests researching "testing graphs for symmetry" as a potential resource.
  • A participant attempts to analyze the symmetry of the function by substituting values and checking conditions for symmetry about the x-axis, y-axis, and origin.
  • There are claims made regarding the function not being symmetric about the y-axis and the origin, but these claims are not universally accepted or confirmed.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the symmetry of the function, with multiple viewpoints and analyses presented without resolution.

Contextual Notes

Some assumptions regarding the definitions of symmetry and the conditions for testing may be implicit in the discussion, and the mathematical steps taken by participants may not be fully resolved.

mathdad
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Test for symmetry about the x-axis, y-axis and origin.

| y | = 2x - 4

What are the rules for testing for symmetry?
 
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RTCNTC said:
Test for symmetry about the x-axis, y-axis and origin.

| y | = 2x - 4

What are the rules for testing for symmetry?

... have you researched "testing graphs for symmetry" ?

Algebra - Symmetry
 
Great! I will answer both symmetry questions tomorrow. Going to work now.
 
| y | = 2x - 4

| -y | = 2x - 4

y = 2x - 4

Symmetric about the x-axis?

| y | = 2(-x) - 4

| y | = -2x - 4

| y | = -2x - 4

Not symmetric about the y-axis.

| y | = 2x - 4

| -y | = 2(-x) - 4

y = -2x - 4

Not symmetric about the origin?
 

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